For these problems, set up the answer but don\'t bother to do all the multiplica
ID: 1023438 • Letter: F
Question
For these problems, set up the answer but don't bother to do all the multiplications and divisions. The answers follow directly. after you set up the answer, immediately check to see if you have done it correctly. What you want to know is whether you have mastered the method of dimensional analysis. How many seconds in 800 minutes ? How many minutes in 5 years ? How many years in 500 days ? How many dozens of eggs are there in 3500 eggs? How many mites in 12,000 yards? There are 5280 ft/mi and 3 ft/yd. How many decades are there in 9 centuries? There are 10 years in a decade. What is the cost of 6 onions if 3 onions weigh 1.5 lb and the price of onions is 20c per lb? HOW many hours does it take to drive to Los Angeles from San Francisco at an average speed of 52 mi/hr? The distance between the two cities to 405 ml. What is the cost of driving from San Francisco to Los Angeles (406 mi) if the cost of gasoline is $1.34/gal and the car gets 18 ml/gal of gasoline? How many oranges are in a crate if the price of a crate is $1.60 and the price of oranges is $0.30/lb? On the overage there are three oranges per pound. The price of a ream of paper is $4.00. There are 500 sheets of paper in a ream. A sheet of paper weighs 0.500 oz. What is the price per pound of paper? (There are 16 oz in a pound.) 12. How many cars are there in a long freight train if it takes the entire train 2 min to pass a station as it travels 40 mi/hr? Each car is 50 ft long. There are 5280 ft in a mile. A crate of eggs holds 27 cartons of eggs. Each carton contains a dozen eggs. It is found that the eggs in the crate weigh 19 lb. What is the average weight of an egg in ounces? (There are 16 ounces per pound.) An 11-fluid ounce bottle of cough medicine contains 6 fluid drams of terpenhydrate. How many milliliters (mL) of terpenhydrate are there in 14 cartons of bottles of cough medicine? A carton contains 24 bottles. (There are 0.125 fluid ounces per fluid dram and 29.5 ml per fluid ounce.) How many French francs does it cost to drive a Renault from Paris to Bordeaux, a distance of 650 kilometers (km), if gasoline costs $2.25/gal and the Renault makes 12 kilometers per liter of gasoline? (Let's assume an exchange rate of 8.5 French francs per dollar. There are 4 quarts per gallon and 0.946 liter per quart.) The contents of a truck containing 400 crates of avocados are correctly insured for $2000. How many avocados are in an average selection of 12 crates, if an average avocado weighs 0.4 pound and the value of avocados is $.30 per pound? Radio waves travel at the speed of light, 3 times 10^10 centimeters (cm) per second (sec). How many minutes did it take the radio signals from the Pioneer satellite passing Saturn to reach Earth when it was 7.6 times 10^8 mi from Earth? There are 10^-2 meter (m) per centimeter (cm), 10^3 m per kilometer (km) and 1.6 km/mi.Explanation / Answer
1) 1min = 60 sec
800 min = 800 * 60 = 48,000 sec
2) 1 year = 365 days * 24 hrs * 60 min = 525, 600 min
5 years = 525, 600 * 5 = 2628,000 min
3) 365 days = 1 year
500 days = 500/365 = 1.37 years
4) 12 eggs = 1 dozen
3500 eggs = 3500/12 = 291.67 dozen= approx 292 dozen
5) 5280 feet = 1 mile
3 feet = 1 yard = 3/5280 = 0.0005682 miles
12,000 yards = 12000* 0.0005682 = 6.82 miles
6) 1 century = 100 years = 10 decades
9 centuries = 9 * 10 = 90 decades
7) 3 onions weigh 1.5 lbs
6 * 1.5/3 = 3 lbs
1 lbs = 20 cents
3 lbs = 3 * 20 = 60 cents
8) Distance between LA to SF = 405 miles
52 miles takes 1 hr
405 miles would require 405/52 = 7.79 hrs
9) The car gets 18 miles for 1 gal
405 miles requires, 405/18 = 22.5 gal
Cost: 1 gal = $1.34
22.5 gal = 1.34 * 22.5 = $ 30.15
10) 1 lb of orange = $0.30
Therefore the weight in lbs corresponding to a cost of $1.60 = 1.60/0.30 = 5.33 lbs
1 lb = 3 oranges
5.33 lbs = 5.33 * 3 = 15.99 , i.e 16 oranges